{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "061568a3",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1.21.0\n",
      "3.4.2\n"
     ]
    }
   ],
   "source": [
    "import matplotlib\n",
    "from matplotlib import pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "print(np.__version__)\n",
    "print(matplotlib.__version__)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "9523f85e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "X = np.linspace(-np.pi, np.pi, 256, endpoint=True)\n",
    "C, S = np.cos(X), np.sin(X)\n",
    "\n",
    "plt.plot(X, C)\n",
    "plt.plot(X, S)\n",
    "\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
